Either draw the graph that meets the conditions below or explain why no such graph exists: A 9 vertex connected graph with no loops and no multiple edges with exactly 12 edges and three cycles.

Q: How many edges would a connected planar graph if it has 13 vertices and 9 faces?

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Q: Is it possible for a graph with 35 vertices and 100 edges to be planar? O Yes O No

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Q: A square with two diagonals drawn is a complete graph. True False

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Q: Sketch an undirected graph with the following vertex degrees 3,3,3,2,1 if it exists

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Q: Draw  (i) a simple graph,  (ii) a non-simple graph with no loops

A: (i). Simple graph:      A simple graph is a graph that does not contain more than one edge between…

Q: Show that in a simple graph with at least Two vertices there must be two vertices that have the same…

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Q: A 4-partite graph is bipartite. True or False

A: False

Q: Can you sketch an undirected graph whose sum of its degrees is 17? If so, sketch the graph, and…

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Q: The first floor plan of a commercial building is shown at the right. Draw a graph (with complete…

A: Answer is mentioned below

Q: If G1 is a simple graph with 20 edges and G has 25 edges, how many vertices does G1 have?

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Q: True/False: The graph shown below is a sir 5 6 3 4 1 2 True

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Q: You have a simple graph G with three vertices and three edges. How many subgraphs can be made from…

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Q: Show that the two drawings represent the same graph by labeling the vertices and edges of the…

A: Consider the two given graph.Let imagine that the edges of the given graph are strings and the…

Q: Explain why it is not possible to draw a planar graph that contains three faces  and the same number…

A: For any planar graph to exist it should satisfy the Euler formula which is given by - v + f = e + 2…

Q: Find the union of the given pair of simple graphs.

A: We need to find the union of the following graphs.     and We know that union of two simple graphs…

Q: My assigned number of vertices was 11, this one has 7. Can this information be updated please?…

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Q: Label the vertices of the second graph to make the second graph equivalent to the first graph

A: Two graphs are equivalent if there corresponding edge set and vertex set are equivalent.

Q: Sketch the complete graph with number of vertex 6.

A: Complete graph: A simple and undirected graph is said to be a complete graph if every pair of…

Q: In a high school class, there are students of different talents (ex. music, art, debate, sports,…

A: 1. Consider the information provided in the problem, The vertices of the graph is the total number…

Q: What is the minimum number of colors you need to color the vertices of this graph such that if two…

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Q: Suppose there are ten Middlebury College students in a room. One of those ten is friends with all of…

A: We are given the following information, There are 10 students in a room. One of them have…

Q: What is the number of connected components for each of the following graphs? (a) b a d

A: A connected component of an undirected graph is a maximal set of nodes such that each pair of nodes…

Q: MCS101 MCS102 MCS100 MCS110 MCS135 MCS120 MCS130

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Q: Find the union of the given pair of simple graphs.

A: Concept Used:- Union of two simple graphs G1 =(V1 ,E1 ) and G2 =(V2 ,E2 )  is a simple graph with…

Q: Find a self-complementary graph with 8 vertices.

A: We know the definition of Complement of a graph, The complement of a graph G is a graph G' on the…

Q: Think of a list of six of your colleagues on Facebook and make a graph where each vertex is one of…

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